I play in two pitchers' parks, Portland and Seattle. In both cases I chose them because I took over teams with little real offensive talent. The first time, I tried to play in a hitters' park - Wrigley - with mediocre hitters and got killed. Having drafted a slightly better than average pitching staff, I moved to Portland and saw better results. In the second case, I inherited a team with a decent existing pitching staff and figured I'd try to maximize its strength.
Also, in both these cases, I figure that great hitting is the most expensive thing to acquire in this game. Easier to pick up very good defenders and decent pitching along the way.
1/ You need good pitching but not necessarily great pitching. The park will suppress all offensive numbers, making your pitchers look better than they are. With hits at a premium, you don't want to give away free bases, so look for better Control, Pitches, and GB/FB is nice to have.
2/ Try to have very good defense. Again, if you can keep the errors down you'll give away less free bases.
3/ Prioritize hitters with better Eye and Contact. You still need Power, but it's slightly wasted. In my experience only elite power hitters can even get to 40 HRs in these parks, so don't even worry about that. You want the kind of offense that keeps the chains moving so to speak.
And you need to like winning games 3-2. It's not for everyone.